Join the Joint

Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT




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A detective visits his friend John just to discover that John's neighbour Dr Jacob was murdered. Dr Jacob, who is a mathematician wrote the murderer's name in a code word "Hcqtfz". There were five suspects
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3. Ganpat
4. Deenu
5. Hariya

The Detective was instantly able to find the murderer.
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Bill: Not bad, got married and I have three kids now.

Jack: That's awesome. How old are they?

Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.

Jack: Cool..But I still don't know.

Bill: My eldest kid just started taking piano lessons.

Jack: Oh, now I get it.

How old are Bill's kids?

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What is the word or phrase?

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